Home
Class 11
MATHS
Define the function f: R to R by y=f(x)=...

Define the function `f: R to R by y=f(x)=x^(2), x in R`. Complete the Table given below by using this defination. What is the domain and range of this function? Draw the graph of f.

Text Solution

Verified by Experts

The correct Answer is:
Domain f= `{x: x in R}` Range `= {x^(2); x in R}`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems|34 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|19 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Textbook based MCQs|25 Videos

  • PROBABILITY

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|40 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Question of Module|19 Videos

Similar Questions

Explore conceptually related problems

Define the real valued function f: R -{0} to R" defined by "f(x)=1/2 x in R-{0} . Complete the Table given below using this definition. What is the domain and range of this function?

Range of the function f: R rarr R, f(x)= x^(2) is………

The domain and range of the function f given by f(x)= 2- |x-5| is

Draw the graph of the function f: R to R defined by f(x)=x^(3), x in R .

Find the domain and range of the following function : f : R rarr R , f(x) = -|x|

Find the domain and the range of the real function f defined by f(x)= |x-1|

Graph of the function f : R rarr R,f(x)=3x+5 is …. .

Find the domain and range of the following function : f: R rarr R , f(x) = 2/(x-2)

Show that the function f : R rarr R given by f(x) =x^(3) is injective.

Domain of the function defined by f(x)= sqrt(4x-x^(2)) is……

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS-Textbook Illustrations for Practice Work
  1. Let A={1,2,3....14}. Define a relation R from A to A by R={(x,y) : 3x-...

    Text Solution

    |

  2. The figure shows a relation between the sets P and Q. Write this relat...

    Text Solution

    |

  3. Let A={1,2} and B={3,4}. Find the number of relations from A to B.

    Text Solution

    |

  4. Let N be the set of natural numbers and the relation R be defined on N...

    Text Solution

    |

  5. Examine each of the following relations given below and state in each ...

    Text Solution

    |

  6. Examine each of the following relations given below and state in each ...

    Text Solution

    |

  7. Examine each of the following relations given below and state in each ...

    Text Solution

    |

  8. Let N be the set of natural numbers. Define a real valued function f: ...

    Text Solution

    |

  9. Define the function f: R to R by y=f(x)=x^(2), x in R. Complete the Ta...

    Text Solution

    |

  10. Draw the graph of the function f: R to R defined by f(x)=x^(3), x in R...

    Text Solution

    |

  11. Define the real valued function f: R -{0} to R" defined by "f(x)=1/2 x...

    Text Solution

    |

  12. Let f(x)=x^(2) and g(x)=2x+1 be two real functions. Find (f+g) (x), (f...

    Text Solution

    |

  13. Let f(x)=sqrtx and g(x)=x be two functions defined over the set of non...

    Text Solution

    |

  14. Let R be the set of real numbers. Define the real function f: R to R b...

    Text Solution

    |

  15. Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b ...

    Text Solution

    |

  16. Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b ...

    Text Solution

    |

  17. Let R be a relation from Q to Q defined by R={(a,b): a,b in Q and a-b ...

    Text Solution

    |

  18. Let f={(1,1),(2,3),(0,-1),(,-1,-3)} be a linear function from Z into Z...

    Text Solution

    |

  19. Find the domain of the function f(x)=(x^(2)+3x+5)/(x^(2)-5x+4)

    Text Solution

    |

  20. The function f is defined by f(x)={(,1-x,x lt 0),(,1,x=0),(,x+1,x gt 0...

    Text Solution

    |